Highest Common Factor of 5333, 3371 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5333, 3371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5333, 3371 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5333, 3371 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5333, 3371 is 1.
HCF(5333, 3371) = 1
HCF of 5333, 3371 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5333, 3371 is 1.
Highest Common Factor of 5333,3371 is 1
Step 1: Since 5333 > 3371, we apply the division lemma to 5333 and 3371, to get
5333 = 3371 x 1 + 1962
Step 2: Since the reminder 3371 ≠ 0, we apply division lemma to 1962 and 3371, to get
3371 = 1962 x 1 + 1409
Step 3: We consider the new divisor 1962 and the new remainder 1409, and apply the division lemma to get
1962 = 1409 x 1 + 553
We consider the new divisor 1409 and the new remainder 553,and apply the division lemma to get
1409 = 553 x 2 + 303
We consider the new divisor 553 and the new remainder 303,and apply the division lemma to get
553 = 303 x 1 + 250
We consider the new divisor 303 and the new remainder 250,and apply the division lemma to get
303 = 250 x 1 + 53
We consider the new divisor 250 and the new remainder 53,and apply the division lemma to get
250 = 53 x 4 + 38
We consider the new divisor 53 and the new remainder 38,and apply the division lemma to get
53 = 38 x 1 + 15
We consider the new divisor 38 and the new remainder 15,and apply the division lemma to get
38 = 15 x 2 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5333 and 3371 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(38,15) = HCF(53,38) = HCF(250,53) = HCF(303,250) = HCF(553,303) = HCF(1409,553) = HCF(1962,1409) = HCF(3371,1962) = HCF(5333,3371) .
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Frequently Asked Questions on HCF of 5333, 3371 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5333, 3371?
Answer: HCF of 5333, 3371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5333, 3371 using Euclid's Algorithm?
Answer: For arbitrary numbers 5333, 3371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.